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Finding the Fourth Proportional to 5,624.46, 8,437.05 and 1,927.08

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Solution

The fourth proportional to 5,624.46, 8,437.05 and 1,927.08 is: 2,890.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,624.46 : 8,437.05 = 1,927.08 : x
  2. Step 2: Convert to fraction form
    5,624.46/8,437.05 = 1,927.08/x
  3. Step 3: Cross multiply
    5,624.46x = 8,437.05 × 1,927.08
  4. Step 4: Simplify right side
    5,624.46x = 16,258,870.31
  5. Step 5: Solve for x
    x = 16,258,870.31/5,624.46
  6. Step 6: Final answer
    x = 2,890.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.